Periods for holomorphic maps via Lefschetz numbers

DOI10.1155/AAA.2005.575zbMATH Open1112.58010arXivmath/0409131OpenAlexW2058004232MaRDI QIDQ2495023

Jaume Llibre, Michael D. Todd

Publication date: 30 June 2006

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Abstract: We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. Our main tool is the Lefschetz number and the action of maps on the first homology group.

Full work available at URL: https://arxiv.org/abs/math/0409131

zbMATH Keywords

holomorphic mapshomology groupLefschetz fixed point theorem

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30)

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